Free Energy Rate Density and Self-organization in Complex Systems

  • Georgi Yordanov GeorgievEmail author
  • Erin Gombos
  • Timothy Bates
  • Kaitlin Henry
  • Alexander Casey
  • Michael Daly
Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)


One of the most important tasks in science is to understand the self-organization’s arrow of time. To attempt this we utilize the connection between self-organization and non-equilibrium thermodynamics. Eric Chaisson calculated an exponential increase of Free Energy Rate Density (FERD) in Cosmic Evolution, from the Big Bang until now, paralleling the increase of systems’ structure. We term these studies “Devology”. We connect the exponential growth of FERD to the principle of least action for complex systems leading to exponential increase of action efficiency. We study CPUs as a specific system in which the organization, the total amount of action and FERD are connected in a positive feedback loop, providing exponential growth of all three and power law relations between them. This is a deep connection, reaching to the first principles of physics: the least action principle and the second law of thermodynamics. We propose size-density and complexity-density rules in addition to the established size-complexity one.


Positive Feedback Loop Action Principle Flow Network Action Efficiency Unit Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors thank Professor Eric Chaisson, at the Harvard Observatory and Center for Astrophysics (CFA) at Harvard University, for fruitful discussions about Free Energy Rate Density and Cosmic Evolution and Professor Germano Iannacchione, Chair of the Physics department at Worcester Polytechnic Institute about discussions of non-equilibrium systems, as connected to self-organization and FERD. The authors also thank John Smart and Clement Vidal about discussions of the Evolutionary and Developmental processes in the Universe and Assumption College, for financial support and encouragement of this research.


  1. 1.
    Nicolis, G., Prigogine, I.: Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuations, Wiley (1977)Google Scholar
  2. 2.
    Onsager, L.: Reciprocal relations in irreversible processes. I. Phys. Rev. 37, 405–426 (1931)ADSCrossRefzbMATHGoogle Scholar
  3. 3.
    Onsager, L., Machlup, S.: Fluctuations and irreversible processes. Phys. Rev. 91, 1505–1512 (1953)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Chaisson, E. J.: The cosmic Evolution. Harvard (2001)Google Scholar
  5. 5.
    Hübler Alfred W.: Predicting complex systems with a holistic approach: the “throughput” criterion. Complexity, 10(3), 11 (2005)Google Scholar
  6. 6.
    Hübler, A., Crutchfield, J.P.: Order and disorder in open systems. Complexity 16(1), 6 (2010)CrossRefGoogle Scholar
  7. 7.
    Georgiev, G., Georgiev, I.: The least action and the metric of an organized system. Open Syst. Inf. Dyn. 9(4), 371 (2002)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Georgiev, G.Y., Daly, M., Gombos, E., Vinod, A., Hoonjan, G.: Increase of organization in complex systems. In: World Academy of Science, Engineering and Technology 71. Preprint arXiv:1301.6288 (2012)
  9. 9.
    Georgiev, G.: Quantitative measure, mechanism and attractor for self-organization in networked complex systems. Self-Organizing Syst. LNCS 7166, 90–95 (2012)Google Scholar
  10. 10.
    Georgiev, G., Henry, K., Bates, T., Gombos, E., Casey, A., Lee, H., Daly, M., Vinod, A.: Mechanism of organization increase in complex systems. Complexity (2014). doi: 10.1002/cplx.21574, 7, 1 Google Scholar
  11. 11.
    Annila, A., Salthe S.: Physical foundations of evolutionary theory. J. Non-Equilib. Thermodyn. 301–321 (2010)Google Scholar
  12. 12.
    Chatterjee, A.: Action, an extensive property of self-organizing systems. Int. J. Basic Appl. Sci. 1(4), 584–593 (2012)Google Scholar
  13. 13.
    Chatterjee, A.: Principle of least action and convergence of systems towards state of closure. Int. J. Phys. Res. 1(1), 21–27 (2013)CrossRefGoogle Scholar
  14. 14.
    Gershenson, C., Heylighen, F.: When can we call a system self-organizing? Lect. Notes Compt. Sci. 2801, 606–614 (2003)CrossRefGoogle Scholar
  15. 15.
    Hertz, H.: Principles of mechanics, in miscellaneous papers, vol. III, Macmillan (1896)Google Scholar
  16. 16.
    Gauss, J.: Über ein neues allgemeines Grundgesetz der Mechanik (1831)Google Scholar
  17. 17.
    Intel Corporation.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Georgi Yordanov Georgiev
    • 1
    • 2
    • 3
    Email author
  • Erin Gombos
    • 1
    • 4
  • Timothy Bates
    • 1
  • Kaitlin Henry
    • 1
  • Alexander Casey
    • 1
    • 5
  • Michael Daly
    • 1
    • 6
  1. 1.Physics DepartmentAssumption CollegeWorcesterUSA
  2. 2.Physics DepartmentTufts UniversityMedfordUSA
  3. 3.Department of PhysicsWorcester Polytechnic InstituteWorcesterUSA
  4. 4.National Cancer InstituteBethesdaUSA
  5. 5.University of Notre DameNotre DameUSA
  6. 6.MeditechFraminghamUSA

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